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Grade 10 Math · Problem type
What shape is the cut?
Use this for “A plane cuts a cube through three corners. What shape is the cross section?”
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What is the most exact name for the cross section?
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Assumptions
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A cross section is the flat shape where a plane cuts a solid.
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On a solid with flat faces, its number of sides is the number of faces the plane crosses.
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A curved surface cut by a plane gives a curved edge.
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Related lessons
Surface area and volume of solids, cross sections and Cavalieri's principle
Main lesson
Surface area of a cylinder
Use this for “Find the surface area of a can with radius 4 cm and height 7 cm.”
Volume of a cone
Use this for “A cone has radius 3 cm and height 4 cm. Find its volume.”
Surface area of a cone
Use this for “A cone has radius 3 cm and height 4 cm. Find its slant height and surface area.”
Volume of a pyramid
Use this for “A square pyramid has base side 6 cm and height 10 cm. Find its volume.”
Surface area and volume of a sphere
Use this for “A ball has radius 5 cm. Find its surface area and volume.”
A level cut of a cone
Use this for “A cone has radius 6 cm and height 9 cm. What is the area of a level cut 3 cm up?”
Surface area of a pyramid
Use this for “A square pyramid has base side 6 cm and height 4 cm. Find its slant height and surface area.”
Turn a shape: which solid?
Use this for “A right triangle is turned about one leg. What solid does it sweep out?”